\begin{landscape}
\chapter*{附表}
\addcontentsline{toc}{chapter}{附表}
\renewcommand\thetable{\arabic{table}}
\captionsetup{font=bf}
\renewcommand\arraystretch{0.9}
  \captionof{table}{泊松分布函数表}\label{tab1}
  \[
    P(X\le k) = \sum_{i=0}^k \frac{\lambda^i}{i!}\ee^{-\lambda}
  \]
    \begin{tabularx}{\linewidth}{c|*{9}{Y}||c|c*{12}{Y}}
      \toprule
      \multirow{2}*{$\lambda$} & \multicolumn{9}{c||}{$k$}
      & \multirow{2}*{$\lambda$} & \multicolumn{13}{c}{$k$} \\
      \cmidrule{2-10}      \cmidrule{12-24}
      & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
      \midrule
      0.1 & 0.905 & 0.995 & 1.000 & & & & & & & 2.1 & 0.122 & 0.380 & 0.650 & 0.839 & 0.938 & 0.980 & 0.994 & 0.999 & 1.000 & & & \\
      0.2 & 0.819 & 0.982 & 0.999 & 1.000 & & & & & & 2.2 & 0.111 & 0.355 & 0.623 & 0.819 & 0.928 & 0.975 & 0.993 & 0.998 & 1.000 \\
      0.3 & 0.741 & 0.963 & 0.996 & 0.999 & 1.000 & & & & & 2.3 & 0.100 & 0.331 & 0.596 & 0.799 & 0.916 & 0.970 & 0.991 & 0.997 & 0.999 & 1.000 \\
      0.4 & 0.670 & 0.938 & 0.992 & 0.999 & 1.000 & & & & & 2.4 & 0.091 & 0.308 & 0.570 & 0.779 & 0.904 & 0.964 & 0.988 & 0.997 & 0.999 & 1.000 \\
      0.5 & 0.607 & 0.910 & 0.986 & 0.998 & 1.000 & & & & & 2.5 & 0.082 & 0.287 & 0.544 & 0.758 & 0.891 & 0.958 & 0.986 & 0.996 & 0.999 & 1.000 \\
      \midrule
      0.6 & 0.549 & 0.878 & 0.977 & 0.997 & 1.000 & & & & & 2.6 & 0.074 & 0.267 & 0.518 & 0.736 & 0.877 & 0.951 & 0.983 & 0.995 & 0.999 & 1.000 \\
      0.7 & 0.497 & 0.844 & 0.966 & 0.994 & 0.999 & 1.000 & & & & 2.7 & 0.067 & 0.249 & 0.494 & 0.714 & 0.863 & 0.943 & 0.979 & 0.993 & 0.998 & 0.999 & 1.000 \\
      0.8 & 0.449 & 0.809 & 0.953 & 0.991 & 0.999 & 1.000 & & & & 2.8 & 0.061 & 0.231 & 0.469 & 0.692 & 0.848 & 0.935 & 0.976 & 0.992 & 0.998 & 0.999 & 1.000 \\
      0.9 & 0.407 & 0.772 & 0.937 & 0.987 & 0.998 & 1.000 & & & & 2.9 & 0.055 & 0.215 & 0.446 & 0.670 & 0.832 & 0.926 & 0.971 & 0.990 & 0.997 & 0.999 & 1.000 \\
      1.0 & 0.368 & 0.736 & 0.920 & 0.981 & 0.996 & 0.999 & 1.000 & & & 3.0 & 0.050 & 0.199 & 0.423 & 0.647 & 0.815 & 0.916 & 0.966 & 0.988 & 0.996 & 0.999 & 1.000 \\
      \midrule
      1.1 & 0.333 & 0.699 & 0.900 & 0.974 & 0.995 & 0.999 & 1.000 & & & 3.1 & 0.045 & 0.185 & 0.401 & 0.625 & 0.798 & 0.906 & 0.961 & 0.986 & 0.995 & 0.999 & 1.000 \\
      1.2 & 0.301 & 0.663 & 0.879 & 0.966 & 0.992 & 0.998 & 1.000 & & & 3.2 & 0.041 & 0.171 & 0.380 & 0.603 & 0.781 & 0.895 & 0.955 & 0.983 & 0.994 & 0.998 & 1.000 \\
      1.3 & 0.273 & 0.627 & 0.857 & 0.957 & 0.989 & 0.998 & 1.000 & & & 3.3 & 0.037 & 0.159 & 0.359 & 0.580 & 0.763 & 0.883 & 0.949 & 0.980 & 0.993 & 0.998 & 0.999 & 1.000 \\
      1.4 & 0.247 & 0.592 & 0.833 & 0.946 & 0.986 & 0.997 & 0.999 & 1.000 & & 3.4 & 0.033 & 0.147 & 0.340 & 0.558 & 0.744 & 0.871 & 0.942 & 0.977 & 0.992 & 0.997 & 0.999 & 1.000 \\
      1.5 & 0.223 & 0.558 & 0.809 & 0.934 & 0.981 & 0.996 & 0.999 & 1.000 & & 3.5 & 0.030 & 0.136 & 0.321 & 0.537 & 0.725 & 0.858 & 0.935 & 0.973 & 0.990 & 0.997 & 0.999 & 1.000 \\
      \midrule
      1.6 & 0.202 & 0.525 & 0.783 & 0.921 & 0.976 & 0.994 & 0.999 & 1.000 & & 3.6 & 0.027 & 0.126 & 0.303 & 0.515 & 0.706 & 0.844 & 0.927 & 0.969 & 0.988 & 0.996 & 0.999 & 1.000 \\
      1.7 & 0.183 & 0.493 & 0.757 & 0.907 & 0.970 & 0.992 & 0.998 & 1.000 & & 3.7 & 0.025 & 0.116 & 0.285 & 0.494 & 0.687 & 0.830 & 0.918 & 0.965 & 0.986 & 0.995 & 0.998 &  1.000 \\
      1.8 & 0.165 & 0.463 & 0.731 & 0.891 & 0.964 & 0.990 & 0.997 & 0.999 & 1.000 & 3.8 & 0.022 & 0.107 & 0.269 & 0.473 & 0.668 & 0.816 & 0.909 & 0.960 & 0.984 & 0.994 & 0.998 & 0.999 & 1.000 \\
      1.9 & 0.150 & 0.434 & 0.704 & 0.875 & 0.956 & 0.987 & 0.997 & 0.999 & 1.000 & 3.9 & 0.020 & 0.099 & 0.253 & 0.453 & 0.648 & 0.801 & 0.899 & 0.955 & 0.981 & 0.993 & 0.998 & 0.999 & 1.000 \\
      2.0 & 0.135 & 0.406 & 0.677 & 0.857 & 0.947 & 0.983 & 0.995 & 0.999 & 1.000 & 4.0 & 0.018 & 0.092 & 0.238 & 0.433 & 0.629 & 0.785 & 0.889 & 0.949 & 0.979 & 0.992 & 0.997 & 0.999 & 1.000 \\
      \bottomrule
    \end{tabularx}
  \newpage \renewcommand\arraystretch{1}
  \hfill 续表
    \begin{tabularx}{\linewidth}{c|*{15}{Y}}
      \toprule
      \multirow{2}*{$\lambda$} & \multicolumn{15}{c}{$k$} \\
        \cmidrule{2-16}
        & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 \\
        \midrule
        5 & 0.007 & 0.040 & 0.125 & 0.265 & 0.440 & 0.616 & 0.762 & 0.867 & 0.932 & 0.968 & 0.986 & 0.995 & 0.998 & 0.999 & 1.000 \\
        6 & 0.002 & 0.017 & 0.062 & 0.151 & 0.285 & 0.446 & 0.606 & 0.744 & 0.847 & 0.916 & 0.957 & 0.980 & 0.991 & 0.996 & 0.999 \\
        7 & 0.001 & 0.007 & 0.030 & 0.082 & 0.173 & 0.301 & 0.450 & 0.599 & 0.729 & 0.830 & 0.901 & 0.947 & 0.973 & 0.987 & 0.994 \\
        8 & 0.000 & 0.003 & 0.014 & 0.042 & 0.100 & 0.191 & 0.313 & 0.453 & 0.593 & 0.717 & 0.816 & 0.888 & 0.936 & 0.966 & 0.983 \\
        9 & 0.000 & 0.001 & 0.006 & 0.021 & 0.055 & 0.116 & 0.207 & 0.324 & 0.456 & 0.587 & 0.706 & 0.803 & 0.876 & 0.926 & 0.959 \\
        10 & 0.000 & 0.000 & 0.003 & 0.010 & 0.029 & 0.067 & 0.130 & 0.220 & 0.333 & 0.458 & 0.583 & 0.697 & 0.792 & 0.864 & 0.917 \\
        \midrule
        11 & 0.000 & 0.000 & 0.001 & 0.005 & 0.015 & 0.038 & 0.079 & 0.143 & 0.232 & 0.341 & 0.460 & 0.579 & 0.689 & 0.781 & 0.854 \\
        12 & 0.000 & 0.000 & 0.001 & 0.002 & 0.008 & 0.020 & 0.046 & 0.090 & 0.155 & 0.242 & 0.347 & 0.462 & 0.576 & 0.682 & 0.772 \\
        13 & 0.000 & 0.000 & 0.000 & 0.001 & 0.004 & 0.011 & 0.026 & 0.054 & 0.100 & 0.166 & 0.252 & 0.353 & 0.463 & 0.573 & 0.675 \\
        14 & 0.000 & 0.000 & 0.000 & 0.002 & 0.006 & 0.014 & 0.032 & 0.062 & 0.109 & 0.176 & 0.260 & 0.358 & 0.464 & 0.570  \\
        15 & 0.000 & 0.000 & 0.000 & 0.001 & 0.003 & 0.008 & 0.018 & 0.0037 & 0.070 & 0.118 & 0.185 & 0.268 & 0.363 & 0.466  \\
        \midrule\midrule
        \multirow{2}*{$\lambda$} & \multicolumn{15}{c}{$k$} \\
        \cmidrule{2-16}
        & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 \\
        \midrule
        6 & 1.000 \\
        7 & 0.998 & 0.999 & 1.000 \\
        8 & 0.992 & 0.996 & 0.998 & 0.999 & 1.000 \\
        9 & 0.978 & 0.989 & 0.995 & 0.998 & 0.999 & 1.000 \\
        10 & 0.951 & 0.973 & 0.986 & 0.993 & 0.997 & 0.998 & 0.999 & 1.000 \\
        \midrule
        11 & 0.907 & 0.944 & 0.968 & 0.982 & 0.991 & 0.995 & 0.998 & 0.999 & 1.000 \\
        12 & 0.844 & 0.899 & 0.937 & 0.963 & 0.979 & 0.988 & 0.994 & 0.997 & 0.999 & 0.999 & 1.000 \\
        13 & 0.764 & 0.835 & 0.890 & 0.930 & 0.957 & 0.975 & 0.986 & 0.992 & 0.996 & 0.998 & 0.999 & 1.000 \\
        14 & 0.669 & 0.756 & 0.827 & 0.883 & 0.923 & 0.952 & 0.971 & 0.983 & 0.991 & 0.995 & 0.997 & 0.999 & 0.999 & 1.000 \\
        15 & 0.568 & 0.664 & 0.749 & 0.819 & 0.875 & 0.917 & 0.947 & 0.967 & 0.981 & 0.989 & 0.994 & 0.997 & 0.998 & 0.999 & 1.000 \\
        \bottomrule
    \end{tabularx}
    \newpage
    \captionof{table}{标准正态分布函数表}\label{tab2}
    \[
      \varPhi(u) = \frac1{\sqrt{2\pi}} \int_{-\infty}^u \ee^{-t^2/2} \dd t
    \]
    \begin{tabularx}{\linewidth}{c|*{10}{Y}}
      \toprule
      $u$ & 0.00 & 0.01 & 0.02 & 0.03 & 0.04 & 0.05 & 0.06 & 0.07 & 0.08 & 0.09 \\
      0.0 & 0.500 & 0.5040 & 0.5080 & 0.5120 & 0.5160 & 0.5199 & 0.5239 & 0.5279 & 0.5319 & 0.5359 \\
      0.1 & 0.5398 & 0.5438 & 0.5478 & 0.5517 & 0.5557 & 0.5596 & 0.5636 & 0.5675 & 0.5714 & 0.5753 \\
      0.2 & 0.5793 & 0.5832 & 0.5871 & 0.5910 & 0.5948 & 0.5987 & 0.6026 & 0.6064 & 0.6103 & 0.6141 \\
      0.3 & 0.6179 & 0.6217 & 0.6255 & 0.6293 & 0.6331 & 0.6368 & 0.6406 & 0.6443 & 0.6480 & 0.6517 \\
      0.4 & 0.6554 & 0.6591 & 0.6628 & 0.6664 & 0.6700 & 0.6736 & 0.6772 & 0.6808 & 0.6844 & 0.6879 \\
      \midrule
      0.5 & 0.6915 & 0.6950 & 0.6985 & 0.7019 & 0.7054 & 0.7088 & 0.7123 & 0.7157 & 0.7190 & 0.7224 \\
      0.6 & 0.7257 & 0.7291 & 0.7324 & 0.7357 & 0.7389 & 0.7422 & 0.7454 & 0.7486 & 0.7517 & 0.7549 \\
      0.7 & 0.7580 & 0.7611 & 0.7939 & 0.7967 & 0.7995 & 0.8023 & 0.8051 & 0.8078 & 0.8106 & 0.8133 \\
      0.8 & 0.7881 & 0.7910 & 0.7939 & 0.7967 & 0.7995 & 0.8023 & 0.8051 & 0.8078 & 0.8106 & 0.8133 \\
      0.9 & 0.8159 & 0.8186 & 0.8212 & 0.8238 & 0.8264 & 0.8289 & 0.8315 & 0.8340 & 0.8365 & 0.8389 \\
      \midrule
      1.0 & 0.8413 & 0.8438 & 0.8461 & 0.8485 & 0.8508 & 0.8531 & 0.8554 & 0.8577 & 0.8599 & 0.8621 \\
      1.1 & 0.8643 & 0.8665 & 0.8686 & 0.8708 & 0.8729 & 0.8749 & 0.8770 & 0.8790 & 0.8810 & 0.8830 \\
      1.2 & 0.8849 & 0.8869 & 0.8888 & 0.8907 & 0.8925 & 0.8944 & 0.8962 & 0.8980 & 0.8997 & 0.9015 \\
      1.3 & 0.9032 & 0.9049 & 0.9066 & 0.9082 & 0.9099 & 0.9115 & 0.9131 & 0.9147 & 0.9162 & 0.9177 \\
      1.4 & 0.9192 & 0.9207 & 0.9222 & 0.9236 & 0.0251 & 0.9265 & 0.9279 & 0.9292 & 0.9306 & 0.9319 \\
      \midrule
      1.5 & 0.9332 & 0.9345 & 0.9357 & 0.9370 & 0.9382 & 0.9394 & 0.9406 & 0.9418 & 0.9429 & 0.9441 \\
      1.6 & 0.9452 & 0.9463 & 0.9474 & 0.9484 & 0.9495 & 0.9505 & 0.9515 & 0.9525 & 0.9535 & 0.9545 \\
      1.7 & 0.9554 & 0.9564 & 0.9573 & 0.9582 & 0.9591 & 0.9599 & 0.9608 & 0.9616 & 0.9625 & 0.9633 \\
      1.8 & 0.9641 & 0.9649 & 0.9656 & 0.9664 & 0.9671 & 0.9678 & 0.9686 & 0.9693 & 0.9699 & 0.9706 \\
      1.9 & 0.9713 & 0.9719 & 0.9726 & 0.9732 & 0.9738 & 0.9744 & 0.9750 & 0.9756 & 0.9761 & 0.9767 \\
      \bottomrule
    \end{tabularx}
    \newpage
    \hfill 续表
    \begin{tabularx}{\linewidth}{c|*{10}{Y}}
      \toprule
      2.0 & 0.9772 & 0.9778 & 0.9783 & 0.9788 & 0.9793 & 0.9798 & 0.9803 &0.9808 & 0.9812 & 0.9817 \\
      2.1 & 0.9821 & 0.9826 & 0.9830 & 0.9834 & 0.9838 & 0.9842 & 0.9846 & 0.9850 & 0.9854 & 0.9857 \\
      2.2 & 0.9861 & 0.9864 & 0.9868 & 0.9871 & 0.9875 & 0.9878 & 0.9881 & 0.9884 & 0.9887 & 0.9890 \\
      2.3 & 0.9893 & 0.9896 & 0.9898 & 0.9901 & 0.9904 & 0.9906 & 0.9909 & 0.9911 & 0.9913 & 0.9916 \\
      2.4 & 0.9918 & 0.9920 & 0.9922 & 0.9925 & 0.9927 & 0.9929 & 0.9931 & 0.9932 & 0.9934 & 0.9926 \\
      \midrule
      2.5 & 0.9938 & 0.9940 & 0.9941 & 0.9943 & 0.9945 & 0.9946 & 0.9948 & 0.9949 & 0.9951 & 0.9952 \\
      2.6 & 0.9953 & 0.9955 & 0.9956 & 0.9957 & 0.9959 & 0.9960 & 0.9961 & 0.9962 & 0.9963 & 0.9964 \\
      2.7 & 0.9965 & 0.9966 & 0.9967 & 0.9968 & 0.9969 & 0.9970 & 0.9971 & 0.9972 & 0.9973 & 0.9974 \\
      2.8 & 0.9974 & 0.9975 & 0.9976 & 0.9977 & 0.9978 & 0.9979 & 0.9979 & 0.9980 & 0.9981 \\
      2.9 & 0.9981 & 0.9982 & 0.9982 & 0.9983 & 0.9984 & 0.9984 & 0.9985 & 0.9986 & 0.9986 \\
      \midrule
        & 0.0 & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \\
      \midrule
      3 & 0.9^28650 & 0.3^30324 & 0.9^33129 & 0.9^35166 & 0.9^36631 & 0.9^37674 & 0.9^38409 & 0.9^38922 & 0.9^42765 & 0.9^45190 \\
      4 & 0.9^46833 & 0.9^47934 & 0.9^48665 & 0.9^51460 & 0.9^54587 & 0.9^56602 & 0.9^57888 & 0.9^58699 & 0.9^62067 & 0.9^65208 \\
      5 & 0.9^67133 & 0.9^68302 & 0.9^70036 & 0.9^74210 & 0.9^76668 & 0.9^78101 & 0.9^78928 & 0.9^84010 & 0.9^86684 & 0.9^88182 \\
      6 & 0.9^90134 \\
      \bottomrule
    \end{tabularx}
    \newpage
    \captionof{table}{$\chi^2$分布分位数$\chi^2_p(n)$表}\label{tab3}
    \[
      P\big(\chi^2(n)\le \chi_p^2(n)\big) = p
    \]
    \begin{tabularx}{\linewidth}{c|*{10}{Y}}
      \toprule
      \multirow{2}*{$n$} & \multicolumn{10}{c}{$p$} \\
      \cmidrule{2-11}
        & 0.05 & 0.01 & 0.025 & 0.05 & 0.1 & 0.9 & 0.95 & 0.975 & 0.99 & 0.995 \\
      \midrule
      1 & 0.0000 & 0.0002 & 0.0010 & 0.0039 & 0.0158 & 2.7055 & 3.8415 & 5.0239 & 6.6349 & 7.8794 \\
     % 2 & 0.0100 & 0.0201 & 0.0506 & 0.1026 & 0.2107 & 4.6052 & 5.9915 & 7.3778 & 9.2013 & 10.5966 \\
      3 & 0.0717 7 0.1148 & 0.2158 & 0.3518 & 0.5844 & 6.2514 & 7.8147 & 9.3484 & 11.3449 & 12.8382 \\
      4 & 0.2070 & 0.2971 & 0.4844 & 0.7107 & 1.0636 & 7.7794 & 9.4877 & 11.1433 & 13.2767 & 14.8603 \\
      5 & 0.4117 & 0.5543 & 0.8312 & 1.1455 & 1.6103 & 9.2364 & 11.0705 & 12.8325 & 15.0863 & 16.7496 \\
      \midrule
      6 & 0.6757 & 0.8721 & 1.2373 & 1.6354 & 2.2041 & 10.6446 & 12.5916 & 14.4494 & 16.8119 & 18.5476 \\
      7 & 0.9893 & 1.2390 & 1.6899 & 2.1673 & 2.8331 & 12.0170 & 14.0671 & 16.0128 & 18.4753 & 20.2777 \\
      8 & 1.3444 & 1.6465 & 2.1797 & 2.7326 & 3.4895 & 13.3616 & 15.5073 & 17.5345 & 20.0902 & 21.9550 \\
      9 & 1.734 & 2.0879 & 2.7004 & 3.3251 & 4.1682 & 14.6837 & 16.9190 & 19.0228 & 21.6660 & 23.1882 \\
      10 & 2.1559 & 25582 & 3.2470 & 3.9403 & 4.8652 & 15.9872 & 18.3070 & 20.4832 & 23.2093 & 25.1882 \\
     % \midrule
      11 & 2.6032 & 3.0535 & 3.8157 & 4.5748 & 5.5778 & 17.2750 & 19.6751 & 21.9200 & 24.7250 & 26.7568 \\
      12 & 3.0738 & 2.5706 & 4.4038 & 5.2260 & 6.3038 & 18.5493 & 21.0261 & 23.3367 & 26.2170 & 28.2995 \\
      13 & 3.5650 & 4.1069 & 5.0088 & 5.8919 & 7.0415 & 19.8119 & 22.3620 & 24.7356 & 27.6882 & 29.8195 \\
      14 & 4.0747 & 4.6604 & 5.6287 & 6.5706 & 7.7895 & 21.0641 & 23.6848 & 26.1189 & 29.1412 & 31.3193 \\
      15 & 4.6009 & 5.2293 & 6.2621 & 7.2609 & 8.5468 & 22.3071 & 24.9958 & 27.4884 & 30.5779 & 32.8013 \\
      \midrule
      16 & 5.1422 & 5.8122 & 6.9077 & 7.9616 & 9.3122 & 23.5418 & 26.2962 & 28.8454 & 31.9999 & 34.2672 \\
      17 & 5.6972 & 6.4078 & 7.5642 & 8.6718 & 10.0852 & 24.7690 & 27.5871 & 30.1910 & 33.4087 & 35.7185 \\
      18 & 6.2648 & 7.0149 & 8.2307 & 9.3905 & 10.8649 & 25.9894 & 28.8693 & 31.5264 & 34,8053 & 37.1565 \\
      19 & 6.8440 & 7.6327 & 8.9065 & 10.1170 & 11.6509 & 27.2036 & 30.1435 & 32.8523 & 36.1909 & 38.5823 \\
      20 & 7.4338 & 8.2604 & 9.5908 & 10.8508 & 12.4426 & 28.4120 & 31.4104 & 34.1696 & 37.5662 & 39.9968 \\
      \bottomrule
    \end{tabularx}
    \newpage \hfill 续表
    \begin{tabularx}{\linewidth}{c|*{10}{Y}}
      \toprule
      \multirow{2}*{$n$} & \multicolumn{10}{c}{$p$} \\
      \cmidrule{2-11}
        & 0.05 & 0.01 & 0.025 & 0.05 & 0.1 & 0.9 & 0.95 & 0.975 & 0.99 & 0.995 \\
      \toprule
      21 & 9.0337 & 8.8972 & 10.2829 & 11.5913 & 13.2396 & 29.6151 & 32.6706 & 35.4789 & 38.9322 & 41.4011 \\
      22 & 8.6427 & 9.5425 & 10.9823 & 12.3380 & 14.0415 & 30.8133 & 33.9244 & 36.7807 & 40.2894 & 42.7957 \\
      23 & 9.2604 & 10.1957 & 11.6886 & 13.0905 & 14.8480 & 32.0069 & 35.1725 & 38.0756 & 41.6384 & 44.1813 \\
      24 & 9.8862 & 10.8564 & 12.4012 & 13.8484 & 15.6587 & 33.1962 & 36.4150 & 39.3641 & 42.9798 & 45.5585 \\
      25 & 10.5197 & 11.5240 & 13.1197 & 14.6114 & 16.4734 & 34.3816 & 37.6525 & 40.6465 & 44.3141 & 46.9279 \\
      \midrule
      26 & 11.1602 & 12.9181 & 13.8439 & 15.3792 & 17.2919 & 35.5632 & 38.8851 & 41.9232 & 45.6417 & 48.2899 \\
      27 & 11.8076 & 12.8785 & 14.5734 & 16.1514 & 18.1139 & 36.7412 & 40.1133 & 43.1945 & 46.9629 & 49.6449 \\
      28 & 12.4613 & 13.5647 & 15.3079 & 16.9279 & 18.9392 & 37.9159 & 41.3371 & 44.4608 & 48.2782 & 50.9934 \\
      29 & 13.1211 & 14.2565 & 16.0471 & 17.7084 & 19.7677 & 39.0875 & 42.5570 & 45.7223 & 49.5879 & 52.3356 \\
      30 & 13.7867 & 14.9535 & 16.7908 & 18.4927 & 20.5992 & 40.2560 & 43.7730 & 46.9790 & 50.8922 & 53.6720 \\
      \midrule
      31 & 14.4578 & 15.6555 & 17.5387 & 19.2806 & 21.4336 & 41,4217 & 44.9853 & 48.2319 & 52.1914 & 55.0027 \\
      32 & 15.1340 & 16.3622 & 18.2908 & 20.0719 & 22.2706 & 42.5847 & 46.1943 & 49.4804 & 53.4858 & 56.3281 \\
      33 & 15.8153 & 17.0735 & 19.0467 & 20.8665 & 23.1102 & 43.7452 & 47.3999 & 50.7251 & 54.7755 & 57.6484 \\
      34 & 16.5013 & 17.7891 & 19.8063 & 21.6643 & 23.9523 & 44.9032 & 48.6024 & 51.9660 & 51.0609 & 58.9639 \\
      35 & 17.1918 & 18.5089 & 20.5694 & 22.4650 & 24.7967 & 46.0588 & 49.8018 & 53.2033 & 57.3421 & 60.2748 \\
      \midrule
      36 & 17.8867 & 19.2327 & 21.3359 & 23.2686 & 25.6433 & 47.2122 & 50.9985 & 54.4373 & 58.6192 & 61.5812 \\
      37 & 18.5858 & 19.9602 & 22.1056 & 24.0749 & 26.4921 & 48.3634 & 52.1923 & 55.6680 & 59.8925 & 62.8833 \\
      38 & 19.2889 & 20.6914 & 22.8785 & 24.8839 & 27.3430 & 49.5126 \\
      39 & 19.9959 & 21.4262 & 23.6543 & 25.6954 & 28.1958 & 50.6598 & 54.5722 & 58.1201 & 62.4281 & 65.4756 \\
      40 & 20.7065 & 22.1643 & 24.4330 & 26.5093 & 29.0505 & 51.8051 & 55.7585 & 59.3417 & 63.6907 & 66.7660 \\
      \bottomrule
    \end{tabularx}
    \newpage
    \captionof{table}{$t$分布分位数$t_p(n)$表}\label{tab4}
    \[
      P\big(t(n)\le t_p^2(n)\big) = p
    \]
    \begin{tabularx}{\linewidth}{c|*{8}{Y}}
      \toprule
      \multirow{2}*{$n$} & \multicolumn{8}{c}{$p$} \\
      \cmidrule{2-9}
       & 0.75 & 0.80 & 0.90 & 0.95 & 0.975 & 0.99 & 0.995 & 0.999 \\
      \midrule
      1 & 1.0000 & 1.3764 & 3.0777 & 6.3138 & 12.7062 & 31.8205 & 63.6567 & 318.3088 \\
      2 & 0.8165 & 1.0607 & 1.8856 & 2.9200 & 4.3027 & 6.9646 & 9.9248 & 22.3271 \\
      3 & 0.7649 & 0.9785 & 1.6377 & 2.3534 & 3.1824 & 4.5407 & 5.8409 & 10.2145 \\
      4 & 0.7407 & 0.9410 & 1.5332 & 2.1318 & 2.7764 & 3.7469 & 4.6041 & 7.1732 \\
      5 & 0.7267 & 0.9195 & 1.4759 & 2.0150 & 2.5706 & 3.3649 & 4.0321 & 5.8934 \\
      \midrule
      6 & 0.7176 & 0.9057 & 1.4398 & 1.9432 & 2.4469 & 3.1427 & 3.7074 & 5.2076 \\
      7 & 0.7111 & 0.8960 & 1.4149 & 1.8946 & 2.3646 & 2.9980 & 3.4995 & 4.7853 \\
      8 & 0.7064 & 0.8889 & 1.3968 & 1.8595 & 2.3060 & 2.8965 & 3.3554 & 4.5008 \\
      9 & 0.7027 & 0.8834 & 1.3830 & 1.8331 & 2.2622 & 2.8214 & 3.2498 & 4.2968 \\
      10 & 0.6998 & 0.8791 & 1.3722 & 1.8125 & 2.2281 & 2.7638 & 3.1693 & 4.1437 \\
      \midrule
      11 & 0.6974 & 0.8755 & 1.3634 & 1.7959 & 2.2010 & 2.7181 & 3.1058 & 4.0247 \\
      12 & 0.6955 & 0.8726 & 1.3562 & 1.7823 & 2.1788 & 2.6810 & 3.0545 & 3.9296 \\
      13 & 0.6938 & 0.8702 & 1.3502 & 1.7709 & 2.1604 & 2.6503 & 3.0123 & 3.8520 \\
      14 & 0.6924 & 0.8681 & 1.3450 & 1.7613 & 2.1448 & 2.6245 & 2.9768 & 3.7874 \\
      15 & 0.6912 & 0.8662 & 1.3406 & 1.7531 & 2.1314 & 2.6025 & 2.9467 & 2.7328 \\
      \midrule
      16 & 0.6901 & 0.8647 & 1.3368 & 1.7459 & 2.1199 & 2.5835 & 2.9208 & 3.6862 \\
      17 & 0.6892 & 0.8633 & 1.3334 & 1.7396 & 2.1098 & 2.5669 & 2.8982 & 3.6458 \\
      18 & 0.6884 & 0.8620 & 1.3304 & 1.7341 & 2.1009 & 2.5524 & 2.8784 & 3.6105 \\
      19 & 0.6876 & 0.8610 & 1.3277 & 1.7291 & 2.0930 & 2.5395 & 2.8609 & 3.5794 \\
      20 & 0.6870 & 0.8600 & 1.3253 & 1.7247 & 2.0860 & 2.5280 & 2.8453 & 3.5518 \\
      \bottomrule
    \end{tabularx}
    \newpage
    \hfill 续表
    \begin{tabularx}{\linewidth}{c|*{8}{Y}}
      \toprule
      \multirow{2}*{$n$} & \multicolumn{8}{c}{$p$} \\
      \cmidrule{2-9}
        & 0.75 & 0.80 & 0.90 & 0.95 & 0.975 & 0.99 & 0.995 & 0.999 \\
      \midrule
      21 & 0.6864 & 0.8591 & 1.3232 & 1.7207 & 2.0796 & 2.5176 & 2.8314 & 3.5272 \\
      22 & 0.6858 & 0.8583 & 1.3212 & 1.7171 & 2.0739 & 2.5083 & 2.8188 & 3.5050 \\
      23 & 0.6853 & 0.8575 & 1.3195 & 1.7139 & 2.0687 & 2.4999 & 2.8073 & 3.4850 \\
      24 & 0.6848 & 0.8569 & 1.3178 & 1.7109 & 2.0639 & 2.4922 & 2.7969 & 3.4668 \\
      25 & 0.6844 & 0.8562 & 1.3163 & 1.7081 & 2.0595 & 2.4851 & 2.7874 & 3.4502 \\
      \midrule
      26 & 0.6840 & 0.8557 & 1.3150 & 1.7056 & 2.0555 & 2.4786 & 2.7787 & 3.4350 \\
      27 & 0.6837 & 0.8551 & 1.3137 & 1.7033 & 2.0518 & 2.4727 & 2.7707 & 3.4210 \\
      28 & 0.6834 & 0.8546 & 1.3125 & 1.7011 & 2.0484 & 2.4671 & 2.7633 & 3.4082 \\
      29 & 0.6830 & 0.8542 & 1.3114 & 1.6991 & 2.0452 & 2.4620 & 2.7564 & 3.3962 \\
      30 & 0.6828 & 0.8538 & 1.3104 & 1.6973 & 2.0423 & 2.4573 & 2.7500 & 3.3852 \\
      \midrule
      31 & 0.6825 & 0.8534 & 1.3095 & 1.6955 & 2.0395 & 2.4528 & 2.7440 & 3.3749 \\
      32 & 0.6822 & 0.8530 & 1.3086 & 1.6939 & 2.0369 & 2.4487 & 2.7385 & 3.3653 \\
      33 & 0.6820 & 0.8526 & 1.3077 & 1.6924 & 2.0345 & 2.4448 & 2.7333 & 3.3563 \\
      34 & 0.6818 & 0.8523 & 1.3070 & 1.6909 & 2.0322 & 2.4411 & 2.7284 & 3.3479 \\
      35 & 0.6816 & 0.8520 & 1.3062 & 1.6896 & 2.0301 & 2.4377 & 2.7238 & 3.3400 \\
      \midrule
      36 & 0.6814 & 0.8517 & 1.3055 & 1.6883 & 2.0281 & 2.4345 & 2.7195 & 3.3326 \\
      37 & 0.6812 & 0.8514 & 1.3049 & 1.6871 & 2.0262 & 2.4314 & 2.7154 & 3.3256 \\
      38 & 0.6810 & 0.8512 & 1.3042 & 1.6860 & 2.0244 & 2.4286 & 2.7116 & 3.3190 \\
      39 & 0.6808 & 0.8509 & 1.3036 & 1.6849 & 2.0227 & 2.4258 & 2.7079 & 3.3128 \\
      40 & 0.6807 & 0.8507 & 1.3031 & 1.6839 & 2.0211 & 2.4233 & 2.7045 & 3.3069 \\
      \bottomrule
    \end{tabularx}

    \newpage
    \newcounter{mycount}\stepcounter{mycount}
    \renewcommand\thetable{\arabic{table}.\arabic{mycount}}
    \captionof{table}{$F$分布0.90分位数$F_{0.90}(f_1,f_2) $表}\label{tab5.1}
    \begin{tabularx}{\linewidth}{c|*{20}{Y}}
      \toprule
      \multirow{2}*{$f_2$} & \multicolumn{20}{c}{$f_1$} \\
      \cmidrule{2-21}
      & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 12 & 14 & 16 & 18 & 20 & 25 & 30 & 60 & 120 & +\infty \\
      \midrule
      1 & 39.86 & 49.50 & 53.59 & 55.83 & 57.24 & 58.20 & 58.91 & 59.44 & 59.86 & 60.19 & 60.71 & 61.07 & 61.35 & 61.57 & 61.74 & 62.05 & 62.26 & 62.79 & 63.06 & 63.31 \\
      2 & 8.53 & 9.00 & 9.16 & 9.24 & 9.29 & 9.33 & 9.35 & 9.37 & 9.38 & 9.39 & 9.41 & 9.42 & 9.43 & 9.44 & 9.44 & 9.45 & 9.46 & 9.47 & 9.48 & 9.49 \\
      3 & 5.54 & 5.46 & 5.39 & 5.34 & 5.31 & 5.28 & 5.27 & 5.25 & 5.24 & 5.23 & 5.22 & 5.20 & 5.19 & 5.18 & 5.17 & 5.17 & 5.15 & 5.14 & 5.13 \\
      4 & 4.54 & 4.32 & 4.19 & 4.11 & 4.05 & 4.01 & 3.98 & 3.95 & 3.94 & 3.92 & 3.90 & 3.88 & 3.86 & 3.85 & 3.84 & 3.83 & 3.82 & 3.79 & 3.78 & 3.76 \\
      5 & 4.06 & 3.78 & 3.62 & 3.52 & 3.45 & 3.40 & 3.37 & 3.34 & 3.32 & 3.30 & 3.27 & 3.25 & 3.23 & 3.22 & 3.21 & 3.19 & 3.17 & 3.14 & 3.12 & 3.11  \\
      \midrule
      6 & 3.78 & 3.46 & 3.29 & 3.18 & 3.11 & 3.05 & 3.01 & 2.98 & 2.96 & 2.94 & 2.90 & 2.88 & 2.86 & 2.85 & 2.84 & 2.81 & 2.80 & 2.76 & 2.74 & 2.72 \\
      7 & 3.59 & 3.26 & 3.07 & 2.96 & 2.88 & 2.83 & 2.78 & 2.78 & 2.75 & 2.72 & 2.70 & 2.64 & 2.62 & 2.61 & 2.59 & 2.57 & 2.56 & 2.51 & 2.49 & 2.47 \\
      8 & 3.46 & 3.11 & 2.92 & 2.81 & 2.73 & 2.67 & 2.62 & 2.59 & 2.56 & 2.54 & 2.50 & 2.48 & 2.45 & 2.44 & 2.42 & 2.40 & 2.38 & 2.34 & 2.32 & 2.29 \\
      9 & 3.36 & 3.01 & 2.81 & 2.69 & 2.61 & 2.55 & 2.51 & 2.47 & 2.44 & 2.42 & 2.38 & 2.35 & 2.33 & 2.31 & 2.30 & 2.27 & 2.25 & 2.21 & 2.18 & 2.16  \\
      10 & 3.29 & 2.92 & 2.73 & 2.61 & 2.52 & 2.46 & 2.41 & 2.38 & 2.35 & 2.32 & 2.28 & 2.26 & 2.23 & 2.22 & 2.20 & 2.17 & 2.16 & 2.11 & 2.08 & 2.06 \\
      \midrule
      12 & 3.18 & 2.81 & 2.61 & 2.48 & 2.39 & 2.33 & 2.28 & 2.24 & 2.21 & 2.19 & 2.15 & 2.12 & 2.09 & 2.08 & 2.06 & 2.03 & 2.01 & 1.96 & 1.93 & 1.91  \\
      14 & 3.10 & 2.73 & 2.52 & 2.39 & 2.31 & 2.24 & 2.19 & 2.15 & 2.12 & 2.10 & 2.05 & 2.02 & 2.00 & 1.98 & 1.96 & 1.93 & 1.91 & 1.86 & 1.83 & 1.80 \\
      16 & 3.05 & 2.67 & 2.46 & 2.33 & 2.24 & 2.18 & 2.13 & 2.09 & 2.06 & 2.03 & 1.99 & 1.95 & 1.93 & 1.91 & 1.89 & 1.86 & 1.84 & 1.78 & 1.75 & 1.72 \\
      18 & 3.01 & 2.62 & 2.42 & 2.29 & 2.20 & 2.13 & 2.08 & 2.04 & 2.00 & 1.98 & 1.93 & 1.90 & 1.87 & 1.85 & 1.84 & 1.80 & 1.78 & 1.72 & 1.69 & 1.66 \\
      20 & 2.97 & 2.59 & 3.38 & 2.25 & 2.16 & 2.09 & 2.04 & 2.00 & 1.96 & 1.94 & 1.89 & 1.86 & 1.83 & 1.81 & 1.79 & 1.76 & 1.74 & 1.68 & 1.64 & 1.61 \\
      \midrule
      25 & 2.92 & 2.53 & 2.32 & 2.18 & 2.09 & 2.02 & 1.97 & 1.93 & 1.89 & 1.87 & 1.82 & 1.79 & 1.76 & 1.74 & 1.72 & 1.68 & 1.66 & 1.59 & 1.56 & 1.52 \\
      30 & 2.88 & 2.49 & 2.28 & 2.14 & 2.05 & 1.98 & 1.93 & 1.88 & 1.85 & 1.82 & 1.77 & 1.74 & 1.71 & 1.69 & 1.67 & 1.63 & 1.61 & 1.54 & 1.50 & 1.46 \\
      60 & 2.79 & 2.39 & 2.18 & 2.04 & 1.95 & 1.87 & 1.82 & 1.77 & 1.74 & 1.71 & 1.66 & 1.62 & 1.59 & 1.56 & 1.54 & 1.50 & 1.48 & 1.40 & 1.35 & 1.30 \\
      120 & 2.75 & 2.35 & 2.13 & 1.99 & 1.90 & 1.82 & 1.77 & 1.72 & 1.68 & 1.65 & 1.60 & 1.56 & 1.53 & 1.50 & 1.48 & 1.44 & 1.41 & 1.32 & 1.26 & 1.20 \\
      $+\infty$ & 2.71 & 2.31 & 2.09 & 1.95 & 1.85 & 1.78 & 1.72 & 1.67 & 1.63 & 1.60 & 1.55 & 1.51 & 1.47 & 1.45 & 1.42 & 1.38 & 1.35 & 1.25 & 1.18 & 1.06 \\
      \bottomrule
    \end{tabularx}
     \newpage \addtocounter{table}{-1}\stepcounter{mycount}
    \captionof{table}{$F$分布0.95分位数$F_{0.95}(f_1,f_2) $表}\label{tab5.2}
    \begin{tabularx}{\linewidth}{c|*{20}{Y}}
      \toprule
      \multirow{2}*{$f_2$} & \multicolumn{20}{c}{$f_1$} \\
      \cmidrule{2-21}
      & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 12 & 14 & 16 & 18 & 20 & 25 & 30 & 60 & 120 & +\infty \\
      \midrule
      1 & 161.45 & 199.50 & 215.71 & 224.58 & 230.16 & 233.99 & 236.77 & 238.88 & 240.54 & 241.88 & 243.91 & 245.36 & 246.46 & 247.32 & 248.01 & 249.26 & 250.10 & 252.20 & 253.25 & 254.25 \\
      2 & 18.51 & 19.00 & 19.16 & 19.25 & 19.30 & 19.33 & 19.35 & 19.37 & 19.38 & 19.40 & 19.41 & 19.42 & 19.43 & 19.44 & 19.45 & 19.46 & 19.46 & 19.48 & 19.49 & 19.50 \\
      3 & 10.13 & 9.55 & 9.28 & 9.12 & 9.01 & 8.94 & 8.89 & 8.85 & 8.81 & 8.79 & 8.74 & 8.71 & 8.69 & 8.66 & 8.63 & 8.62 & 8.57 & 8.55 & 8.53 \\
      4 & 7.71 & 6.94 & 6.59 & 6.39 & 6.26 & 6.16 & 6.09 & 6.04 & 6.00 & 5.96 & 5.91 & 5.87 & 5.84 & 5.82 & 5.80 & 5.77 & 5.75 & 5.69 & 5.66 & 5.63 \\
      5 & 6.61 & 5.79 & 5.41 & 5.19 & 5.05 & 4.95 & 4.88 & 4.82 & 4.77 & 4.74 & 4.68 & 4.64 & 4.60 & 4.58 & 4.56 & 4.52 & 4.50 & 4.43 & 4.40 & 4.37 \\
      \midrule
      6 & 5.99 & 5.14 & 4.76 & 4.53 & 4.39 & 4.28 & 4.21 & 4.15 & 4.10 & 4.06 & 4.00 & 3.96 & 3.92 & 3.90 & 3.87 & 3.83 & 3.81 & 3.74 & 3.70 & 3.67 \\
      7 & 5.59 & 4.74 & 4.35 & 4.12 & 3.97 & 3.87 & 3.79 & 3.73 & 3.68 & 3.64 & 3.57 & 3.53 & 3.49 & 3.47 & 3.44 & 3.40 & 3.38 & 3.30 & 3.27 & 3.23 \\
      8 & 5.32 & 4.46 & 4.07 & 3.84 & 3.69 & 3.58 & 3.50 & 3.44 & 3.39 & 3.35 & 3.28 & 3.24 & 3.20 & 3.17 & 3.15 & 3.11 & 3.08 & 3.01 & 2.97 & 2.93 \\
      9 & 5.12 & 4.26 & 3.86 & 3.63 & 3.48 & 3.37 & 3.29 & 3.23 & 3.18 & 3.14 & 3.07 & 3.03 & 2.99 & 2.96 & 2.94 & 2.89 & 2.86 & 2.79 & 2.75 & 2.71 \\
      10 & 4.96 & 4.10 & 3.71 & 3.48 & 3.33 & 3.22 & 3.14 & 3.07 & 3.02 & 2.98 & 2.91 & 2.86 & 2.83 & 2.80 & 2.77 & 2.73 & 2.70 & 2.62 & 2.58 & 2.54 \\
      \midrule
      12 & 4.75 & 3.89 & 3.49 & 3.26 & 3.11 & 3.00 & 2.91 & 2.85 & 2.80 & 2.75 & 2.69 & 2.64 & 2.60 & 2.57 & 2.54 & 2.50 & 2.47 & 2.38 & 2.34 & 2.30 \\
      14 & 4.60 & 3.74 & 3.34 & 3.11 & 2.96 & 2.85 & 2.76 & 2.70 & 2.65 & 2.60 & 2.53 & 2.48 & 2.44 & 2.41 & 2.39 & 2.34 & 2.31 & 2.22 & 2.18 & 2.13 \\
      16 & 4.49 & 3.63 & 3.24 & 3.01 & 2.85 & 2.74 & 2.66 & 2.59 & 2.54 & 2.49 & 2.42 & 2.37 & 2.33 & 2.30 & 2.28 & 2.23 & 2.19 & 2.11 & 2.06 & 2.01 \\
      18 & 4.41 & 3.55 & 3.16 & 2.93 & 2.77 & 2.66 & 2.58 & 2.51 & 2.46 & 2.41 & 2.34 & 2.29 & 2.25 & 2.22 & 2.19 & 2.14 & 2.11 & 2.02 & 1.97 & 1.92 \\
      20 & 4.35 & 3.49 & 3.10 & 2.87 & 2.71 & 2.60 & 2.51 & 2.45 & 2.39 & 2.35 & 2.28 & 2.22 & 2.18 & 2.15 & 2.12 & 2.07 & 2.04 & 1.95 & 1.90 & 1.85 \\
      \midrule
      25 & 4.24 & 3.39 & 2.99 & 2.76 & 2.60 & 2.49 & 2.40 & 2.34 & 2.28 & 2.24 & 2.16 & 2.11 & 2.07 & 2.04 & 2.01 & 1.96 & 1.92 & 1.82 & 1.77 & 1.71 \\
      30 & 4.17 & 3.32 & 2.92 & 2.69 & 2.53 & 2.42 & 2.33 & 2.27 & 2.21 & 2.16 & 2.09 & 2.04 & 1.99 & 1.96 & 1.93 & 1.88 & 1.84 & 1.74 & 1.68 & 1.63 \\
      60 & 4.00 & 3.15 & 2.76 & 2.53 & 2.37 & 2.25 & 2.17 & 2.10 & 2.04 & 1.99 & 1.92 & 1.86 & 1.82 & 1.78 & 1.75 & 1.69 & 1.65 & 1.53 & 1.47 & 1.39 \\
      120 & 3.92 & 3.07 & 2.68 & 2.45 & 2.29 & 2.18 & 2.09 & 2.02 & 1.96 & 1.91 & 1.83 & 1.78 & 1.73 & 1.69 & 1.66 & 1.60 & 1.55 & 1.43 & 1.35 & 1.26 \\
      $+\infty$ & 3.85 & 3.00 & 2.61 & 2.38 & 2.22 & 2.10 & 2.01 & 1.94 & 1.88 & 1.84 & 1.76 & 1.70 & 1.65 & 1.61 & 1.58 & 1.51 & 1.46 & 1.32 & 1.23 & 1.08 \\
      \bottomrule
    \end{tabularx}
    \newpage \addtocounter{table}{-1}\stepcounter{mycount}
    \captionof{table}{$F$分布0.975分位数$F_{0.975}(f_1,f_2) $表}\label{tab5.3}
    \begin{tabularx}{\linewidth}{c|*{20}{Y}}
      \toprule
      \multirow{2}*{$f_2$} & \multicolumn{20}{c}{$f_1$} \\
      \cmidrule{2-21}
      & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 12 & 14 & 16 & 18 & 20 & 25 & 30 & 60 & 120 & +\infty \\
      \midrule
      1 & 647.79 & 799.50 & 864.16 & 899.58 & 921.85 & 937.11 & 948.22 & 956.66 & 963.28 & 968.63 & 976.71 & 982.53 & 986.92 & 990.35 & 993.10 & 998.08 & 1001.41 & 1009.80 & 1014.02 & 1018.00 \\
      2 & 38.51 & 39.00 & 39.17 & 39.25 & 39.30 & 39.33 & 39.36 & 39.37 & 39.39 & 39.40 & 39.41 & 39.43 & 39.44 & 39.44 & 39.45 & 39.46 & 39.46 & 39.48 & 39.49 & 39.50 \\
      3 & 17.44 & 16.04 & 15.44 & 15.10 & 14.88 & 14.73 & 14.62 & 14.54 & 14.47 & 14.42 & 14.34 & 14.28 & 14.23 & 14.20 & 14.17 & 14.12 & 14.08 & 13.99 & 13.95 & 13.90 \\
      4 & 12.22 & 10.65 & 9.98 & 9.60 & 9.36 & 9.20 & 9.07 & 8.98 & 8.90 & 8.84 & 8.75 & 8.68 & 8.63 & 8.59 & 8.56 & 8.50 & 8.46 & 8.36 & 8.31 & 8.26 \\
      5 & 10.01 & 8.43 & 7.76 & 7.39 & 7.15 & 6.98 & 6.85 & 6.76 & 6.68 & 6.62 & 6.52 & 6.46 & 6.40 & 6.36 & 6.33 & 6.27 & 6.23 & 6.12 & 6.07 & 6.02 \\
      \midrule
      6 & 8.81 & 7.26 & 6.60 & 6.23 & 5.99 & 5.82 & 5.70 & 5.60 & 5.52 & 5.46 & 5.37 & 5.30 & 5.24 & 5.20 & 5.17 & 5.11 & 5.07 & 4.96 & 4.90 & 4.85 \\
      7 & 8.07 & 6.54 & 5.89 & 5.52 & 5.29 & 5.12 & 4.99 & 4.90 & 4.82 & 4.76 & 4.67 & 4.60 & 4.54 & 4.50 & 4.47 & 4.40 & 4.36 & 4.25 & 4.20 & 4.15 \\
      8 & 7.57 & 6.06 & 5.42 & 5.05 & 4.82 & 4.65 & 4.53 & 4.43 & 4.36 & 4.30 & 4.20 & 4.13 & 4.08 & 4.03 & 4.00 & 3.94 & 3.89 & 3.78 & 2.73 & 2.67 \\
      9 & 7.21 & 5.71 & 5.08 & 4.72 & 4.48 & 4.32 & 4.20 & 4.10 & 4.03 & 3.96 & 3.87 & 3.80 & 3.74 & 3.70 & 3.67 & 3.60 & 3.56 & 3.45 & 3.39 & 3.34 \\
      10 & 6.94 & 5.46 & 4.83 & 4.47 & 4.24 & 4.07 & 3.95 & 3.85 & 3.78 & 3.72 & 3.62 & 3.55 & 3.50 & 3.45 & 3.42 & 3.35 & 3.31 & 3.20 & 3.14 & 3.08\\
      \midrule
      12 & 6.55 & 5.10 & 4.47 & 4.12 & 3.89 & 3.73 & 3.61 & 3.51 & 3.44 & 3.37 & 3.28 & 3.21 & 3.15 & 3.11 & 3.07 & 3.01 & 2.96 & 2.85 & 2.79 & 2.73 \\
      14 & 6.30 & 4.86 & 4.24 & 3.89 & 3.66 & 3.50 & 3.38 & 3.29 & 3.21 & 3.15 & 3.05 & 3.98 & 2.92 & 2.88 & 2.84 & 2.78 & 2.73 & 2.61 & 2.55 & 2.49 \\
      16 & 6.12 & 4.69 & 4.08 & 3.73 & 3.50 & 3.34 & 3.22 & 3.12 & 3.05 & 2.99 & 2.89 & 2.82 & 2.76 & 2.72 & 2.68 & 2.61 & 2.57 & 2.45 & 2.38 & 2.32 \\
      18 & 5.98 & 4.56 & 3.95 & 3.61 & 3.38 & 3.22 & 3.10 & 3.01 & 2.93 & 2.87 & 2.77 & 2.70 & 2.64 & 2.60 & 2.56 & 2.49 & 2.44 & 2.32 & 2.26 & 2.19 \\
      20 & 5.87 & 4.46 & 3.86 & 3.51 & 3.29 & 3.13 & 3.01 & 2.91 & 2.84 & 2.77 & 2.68 & 2.60 & 2.55 & 2.50 & 2.46 & 2.40 & 2.35 & 2.22 & 2.16 & 2.09 \\
      \midrule
      25 & 5.69 & 4.29 & 3.69 & 3.35 & 3.13 & 2.97 & 2.85 & 2.75 & 2.68 & 2.61 & 2.51 & 2.44 & 2.38 & 2.34 & 2.30 & 2.23 & 2.18 & 2.05 & 1.98 & 1.91 \\
      30 & 5.57 & 4.18 & 3.59 & 3.25 & 3.03 & 2.87 & 2.75 & 2.65 & 2.57 & 2.51 & 2.41 & 2.34 & 2.28 & 2.23 & 2.20 & 2.12 & 2.07 & 1.94 & 1.87 & 1.79 \\
      60 & 5.29 & 3.93 & 3.34 & 3.01 & 2.79 & 2.63 & 2.51 & 2.41 & 2.33 & 2.27 & 2.17 & 2.09 & 2.03 & 1.98 & 1.94 & 1.87 & 1.82 & 1.67 & 1.58 & 1.49 \\
      120 & 5.15 & 3.80 & 3.23 & 2.89 & 2.67 & 2.52 & 2.39 & 2.30 & 2.22 & 2.16 & 2.05 & 1.98 & 1.92 & 1.87 & 1.82 & 1.75 & 1.69 & 1.53 & 1.43 & 1.32 \\
      $+\infty$ & 5.03 & 3.70 & 3.12 & 2.79 & 2.57 & 2.41 & 2.29 & 2.20 & 2.12 & 2.05 & 1.95 & 1.87 & 1.81 & 1.76 & 1.72 & 1.63 & 1.57 & 1.40 & 1.28 & 1.09 \\
      \bottomrule
    \end{tabularx}
    \newpage \addtocounter{table}{-1}\stepcounter{mycount}
    \captionof{table}{$F$分布0.99分位数$F_{0.99}(f_1,f_2) $表}\label{tab5.4}\zihao{-5}
    \begin{tabularx}{\linewidth}{c|*{20}{Y}}
      \toprule
      \multirow{2}*{$f_2$} & \multicolumn{20}{c}{$f_1$} \\
      \cmidrule{2-21}
      & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 12 & 14 & 16 & 18 & 20 & 25 & 30 & 60 & 120 & +\infty \\
      \midrule
      1 & 4052.18 & 4999.50 & 5403.35 & 5624.58 & 5763.65 & 5858.99 & 5928.36 & 5981.07 & 6022.47 & 6055.85 & 6106.32 & 6142.67 & 6170.10 & 6191.53 & 6208.73 & 6239.83 & 6260.65 & 6313.03 & 6339.39 & 6364.27 \\
      2 & 98.50 & 99.00 & 99.17 & 99.25 & 99.30 & 99.33 & 99.36 & 99.37 & 99.39 & 99.40 & 99.42 & 99.43 & 99.44 & 99.44 & 99.45 & 99.46 & 99.47 & 99.48 & 99.49 & 99.50 \\
      3 & 34.12 & 30.82 & 29.46 & 28.71 & 28.24 & 27.91 & 27.67 & 27.49 & 27.35  & 27.23 & 27.05 & 26.92 & 26.83 & 26.75 & 26.69 & 26.58 & 26.50 & 26.32 & 26.22 & 26.13 \\
      4 & 21.20 & 18.00 & 16.69 & 15.98 & 15.52 & 15.21 & 14.98 & 14.80 & 14.66 & 14.55 & 14.37 & 14.25 & 14.15 & 14.08 & 14.02 & 13.91 & 13.84 & 13.65 & 13.56 & 13.47 \\
      5 & 16.26 & 13.27 & 12.06 & 11.39 & 10.97 & 10.67 & 10.46 & 10.29 & 10.16 & 10.05 & 9.89 & 9.77 & 9.68 & 9.61 & 9.55 & 9.45 & 9.38 & 9.20 & 9.11 & 9.03 \\
      \midrule
      6 & 13.75 & 10.92 & 9.78 & 9.15 & 8.75 & 8.47 & 8.26 & 8.10 & 7.98 & 7.87 & 7.72 & 7.60 & 7.52 & 7.45 & 7.40 & 7.30 & 7.23 & 7.06 & 6.97 & 6.89 \\
      7 & 12.25 & 9.55 & 8.45 & 7.85 & 7.46 & 7.19 & 6.99 & 6.84 & 6.72 & 6.62 & 6.47 & 6.36 & 6.28 & 6.21 & 6.16 & 6.06 & 5.99 & 5.82 & 5.74 & 5.65 \\
      8 & 11.26 & 8.65 & 7.59 & 7.01 & 6.63 & 6.37 & 6.18 & 6.03 & 5.91 & 5.81 & 5.67 & 5.56 & 5.48 & 5.41 & 5.36 & 5.26 & 5.20 & 5.03 & 4.95 & 4.86 \\
      9 & 10.56 & 8.02 & 6.99 & 6.42 & 6.06 & 5.80 & 5.61 & 5.47 & 5.35 & 5.26 & 5.11 & 5.01 & 4.92 & 4.86 & 4.81 & 4.71 & 4.65 & 4.48 & 4.40 & 4.32 \\
      10 & 10.04 & 7.56 & 6.55 & 5.99 & 5.64 & 5.39 & 5.20 & 5.06 & 4.94 & 4.85 & 4.71 & 4.60 & 4.52 & 4.46 & 4.41 & 4.31 & 4.25 & 4.08 & 4.00 & 3.91 \\
      \midrule
      12 & 9.33 & 6.93 & 5.95 & 5.41 & 5.06 & 4.82 & 4.64 & 4.50 & 4.39 & 4.30 & 4.16 & 4.05 & 3.97 & 3.91 & 3.86 & 3.76 & 2.70 & 2.54 & 2.45 & 3.37 \\
      14 & 8.86 & 6.51 & 5.56 & 5.04 & 4.69 & 4.46 & 4.28 & 4.14 & 4.03 & 3.94 & 3.80 & 3.70 & 3.62 & 3.56 & 3.51 & 3.41 & 3.35 & 3.18 & 3.09 & 3.01 \\
      16 & 8.53 & 6.23 & 5.29 & 4.47 & 4.44 & 4.20 & 4.03 & 3.89 & 3.78 & 3.69 & 3.55 & 3.45 & 3.37 & 3.31 & 3.26 & 3.16 & 3.10 & 2.93 & 2.84 & 2.76 \\
      18 & 8.29 & 6.01 & 5.09 & 4.58 & 4.25 & 4.01 & 3.84 & 3.71 & 3.60 & 3.51 & 3.37 & 3.27 & 3.19 & 3.13 & 3.08 & 2.98 & 2.92 & 2.75 & 2.66 & 2.57 \\
      20 & 8.10 & 5.85 & 4.94 & 4.43 & 4.10 & 3.87 & 3.70 & 3.56 & 3.46 & 3.37 & 3.23 & 3.13 & 3.05 & 2.99 & 2.94 & 2.84 & 2.78 & 2.61 & 2.52 & 2.43 \\
      \midrule
      25 & 7.77 & 5.57 & 4.68 & 4.18 & 3.85 & 3.63 & 3.46 & 3.32 & 3.22 & 3.13 & 2.99 & 2.89 & 2.81 & 2.75 & 2.70 & 2.60 & 2.54 & 2.36 & 2.27 & 2.18 \\
      30 & 7.56 & 5.39 & 4.51 & 4.02 & 3.70 & 3.47 & 3.30 & 3.17 & 3.07 & 2.98 & 2.84 & 2.74 & 2.66 & 2.60 & 2.55 & 2.45 & 2.39 & 2.21 & 2.11 & 2.01 \\
      60 & 7.08 & 4.98 & 4.13 & 3.65 & 3.34 & 3.12 & 2.95 & 2.82 & 2.72 & 2.63 & 2.50 & 2.39 & 2.31 & 2.25 & 2.20 & 2.10 & 2.03 & 1.84 & 1.73 & 1.61 \\
      120 & 6.85 & 4.79 & 3.95 & 3.48 & 3.17 & 2.96 & 2.79 & 2.66 & 2.56 & 2.47 & 2.34 & 2.23 & 2.15 & 2.09 & 2.03 & 1.93 & 1.86 & 1.66 & 1.53 & 1.39 \\
      $+\infty$ & 6.65 & 4.62 & 3.79 & 3.33 & 3.03 & 2.81 & 2.65 & 2.52 & 2.42 & 2.33 & 2.19 & 2.09 & 2.01 & 1.94 & 1.89 & 1.78 & 1.71 & 1.48 & 1.34 & 1.11 \\
      \bottomrule
    \end{tabularx}
    \newpage \renewcommand\thetable{\arabic{table}}
    \captionof{table}{正态性检验统计量$W$的系数$a_i(n)$数值表}\label{tab6}
    \begin{tabularx}{\linewidth}{Y*{10}{|Y}}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$i$}{$n$}} & & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
      \midrule
      1 & & - & - & - & - & - & 0.6052 & 0.5888 & 0.5739 \\
      2 & & - & - & - & - & - & 0.3164 & 0.3244 & 0.3291 \\
      3 & & - & - & - & - & - & 0.1743 & 0.1976 & 0.2141 \\
      4 & & - & - & - & - & - & 0.0561 & 0.0947 & 0.1224 \\
      5 & & - & - & - & - & - & - & - & 0.0399 \\
      \midrule
      \midrule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$i$}{$n$}} & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \\
      \midrule
      1 & 0.5601 & 0.5475 & 0.5359 & 0.5251 & 0.5150 & 0.5056 & 0.4968 & 0.4886 & 0.4808 & 0.4734 \\
      2 & 0.3315 & 0.3325 & 0.3325 & 0.3318 & 0.3306 & 0.3290 & 0.3273 & 0.3253 & 0.3232 & 0.3211 \\
      3 & 0.2260 & 0.2347 & 0.2412 & 0.2460 & 0.2495 & 0.2521 & 0.2540 & 0.2553 & 0.2561 & 0.2565 \\
      4 & 0.1429 & 0.1586 & 0.1707 & 0.1802 & 0.1878 & 0.1939 & 0.1988 & 0.2027 & 0.2059 & 0.2085 \\
      5 & 0.0695 & 0.0922 & 0.1099 & 0.1240 & 0.1353 & 0.1447 & 0.1524 & 0.1587 & 0.1641 & 0.1686 \\
      6 & - & 0.0303 & 0.0539 & 0.0727 & 0.0880 & 0.1005 & 0.1109 & 0.1997 & 0.1271 & 0.1334 \\
      7 & - & - & - & 0.0240 & 0.0433 & 0.0593 & 0.0725 & 0.0837 & 0.932 & 0.103 \\
      8 & - & - & - & - & - & 0.0196 & 0.0359 & 0.0496 & 0.0612 & 0.0711 \\
      9 & - & - & - & - & - & - & - & 0.0163 & 0.0303 & 0.0422 \\
      10 & - & - & - & - & - & - & - & - & - & 0.0140 \\
      \midrule
      \midrule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$i$}{$n$}} & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \\
      \midrule
      1 & 0.4643 & 0.4590 & 0.4542 & 0.4493 & 0.4450 & 0.4407 & 0.4366 & 0.4328 & 0.4291 & 0.4254 \\
      2 & 0.3185 & 0.3156 & 0.3126 & 0.3098 & 0.3069 & 0.3043 & 0.3018 & 0.2992 & 0.2968 & 0.2944 \\
      3 & 0.3578 & 0.2571 & 0.2563 & 0.2544 & 0.2543 & 0.2533 & 0.2522 & 0.2510 & 0.2499 & 0.2487 \\
      4 & 0.2119 & 0.2131 & 0.2139 & 0.2145 & 0.2148 & 0.2151 & 0.2152 & 0.2151 & 0.2150 & 0.2148 \\
      5 & 0.1736 & 0.1764 & 0.1787 & 0.1807 & 0.1822 & 0.1836 & 0.1848 & 0.1857 & 0.1864 & 0.1870 \\
      \midrule
    \end{tabularx}
    \newpage
    \begin{tabularx}{\linewidth}{Y*{10}{|Y}}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$i$}{$n$}} & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \\
      \midrule
      6 & 0.1399 & 0.1443 & 0.1480 & 0.1512 & 0.1539 & 0.1563 & 0.1584 & 0.1601 & 0.1616 & 0.1630 \\
      7 & 0.1092 & 0.1150 & 0.1201 & 0.1245 & 0.1283 & 0.1316 & 0.1346 & 0.1372 & 0.1395 & 0.1415 \\
      8 & 0.0804 & 0.0878 & 0.0941 & 0.0997 & 0.1046 & 0.1089 & 0.1128 & 0.1162 & 0.1192 & 0.1219 \\
      9 & 0.0530 & 0.0618 & 0.0696 & 0.0764 & 0.0823 & 0.0876 & 0.0923 & 0.0965 & 0.1002 & 0.1036 \\
      10 & 0.0263 & 0.0368 & 0.0459 & 0.0539 & 0.0610 & 0.0672 & 0.0728 & 0.0778 & 0.0822 & 0.0862 \\
      11 & - & 0.0122 & 0.0228 & 0.0321 & 0.0403 & 0.0476 & 0.0540 & 0.0598 & 0.0650 & 0.0668 \\
      12 & - & - & - & 0.0107 & 0.0200 & 0.0284 & 0.0358 & 0.0424 & 0.0483 & 0.0537 \\
      13 & - & - & - & - & - & 0.0094 & 0.0178 & 0.0253 & 0.0320 & 0.0381 \\
      14 & - & - & - & - & - & - & - & 0.0084 & 0.0159 & 0.0227 \\
      15 & - & - & - & - & - & - & - & - & - & 0.0076 \\
      \midrule
      \midrule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$i$}{$n$}} & 41 & 44 & 43 & 44 & 45 & 46 & 47 & 48 & 49 & 50 \\
      \midrule
      1 & 0.3940 & 0.3917 & 0.3894 & 0.3872 & 0.3850 & 0.3830 & 0.3803 & 0.3789 & 0.3770 & 0.3751 \\
      2 & 0.2719 & 0.2701 & 0.2684 & 0.2667 & 0.2651 & 0.2635 & 0.2620 & 0.2604 & 0.2589 & 0.2574 \\
      3 & 0.2357 & 0.2345 & 0.2334 & 0.2323 & 0.2313 & 0.2302 & 0.2291 & 0.2281 & 0.2271 & 0.2260 \\
      4 & 0.2091 & 0.2085 & 0.2078 & 0.2072 & 0.2065 & 0.2058 & 0.2052 & 0.2045 & 0.2038 & 0.2032 \\
      5 & 0.1876 & 0.1874 & 0.1871 & 0.1868 & 0.1865 & 0.1862 & 0.1859 & 0.1855 & 0.1851 & 0.1847 \\
      6 & 0.1693 & 0.1694 & 0.1695 & 0.1695 & 0.1695 & 0.1695 & 0.1695 & 0.1693 & 0.1692 & 0.1691 \\
      7 & 0.1531 & 0.1535 & 0.1539 & 0.1542 & 0.1545 & 0.1548 & 0.1550 & 0.1551 & 0.1553 & 0.1554 \\
      8 & 0.1384 & 0.1392 & 0.1398 & 0.1405 & 0.1410 & 0.1415 & 0.1420 & 0.1423 & 0.1427 & 0.1430 \\
      9 & 0.1249 & 0.1259 & 0.1269 & 0.1278 & 0.1286 & 0.1293 & 0.1300 & 0.1306 & 0.1312 & 0.1317 \\
      10 & 0.1123 & 0.1136 & 0.1149 & 0.1160 & 0.1170 & 0.1180 & 0.1189 & 0.1197 & 0.1205 & 0.1212 \\
      11 & 0.1004 & 0.1020 & 0.1035 & 0.1049 & 0.1062 & 0.1073 & 0.1085 & 0.1095 & 0.1105 & 0.1113 \\
      12 & 0.0891 & 0.0909 & 0.0927 & 0.0943 & 0.0959 & 0.0972 & 0.0986 & 0.0998 & 0.1010 & 0.1020 \\
      13 & 0.0782 & 0.0804 & 0.0824 & 0.0842 & 0.0860 & 0.0876 & 0.0892 & 0.0906 & 0.0919 & 0.0932 \\
      14 & 0.0677 & 0.0701 & 0.0724 & 0.0745 & 0.0765 & 0.0783 & 0.0801 & 0.0817 & 0.0832 & 0.0846 \\
      15 & 0.0575 & 0.0602 & 0.0628 & 0.0651 & 0.0673 & 0.0694 & 0.0713 & 0.0731 & 0.0748 & 0.0764 \\
      \bottomrule
    \end{tabularx}
    \begin{tabularx}{\linewidth}{Y*{10}{|Y}}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$i$}{$n$}} & 41 & 44 & 43 & 44 & 45 & 46 & 47 & 48 & 49 & 50 \\
      \midrule
      16 & 0.0476 & 0.0506 & 0.0534 & 0.0560 & 0.0584 & 0.0607 & 0.0628 & 0.0648 & 0.0667 & 0.0685 \\
      17 & 0.0379 & 0.0411 & 0.0442 & 0.0471 & 0.0497 & 0.0522 & 0.0546 & 0.0568 & 0.0588 & 0.0608 \\
      18 & 0.0283 & 0.0318 & 0.0352 & 0.0383 & 0.0412 & 0.0439 & 0.0465 & 0.0489 & 0.0511 & 0.0532 \\
      19 & 0.0188 & 0.0227 & 0.0263 & 0.0296 & 0.0328 & 0.0357 & 0.0385 & 0.0411 & 0.0436 & 0.0459 \\
      20 & 0.0094 & 0.0136 & 0.0175 & 0.0211 & 0.0245 & 0.0277 & 0.0307 & 0.0335 & 0.0361 & 0.0386 \\
      21 & - & 0.0045 & 0.0087 & 0.0126 & 0.0163 & 0.0197 & 0.0229 & 0.0259 & 0.0288 & 0.0314 \\
      22 & - & - & - & 0.0042 & 0.0081 & 0.0118 & 0.0153 & 0.0185 & 0.0215 & 0.0244 \\
      23 & - & - & - & - & - & 0.0039 & 0.0076 & 0.0111 & 0.0143 & 0.0174 \\
      24 & - & - & - & - & - & - & - & 0.0037 & 0.0071 & 0.0104 \\
      25 & - & - & - & - & - & - & - & - & - & 0.0035 \\
      \bottomrule
    \end{tabularx}
\end{landscape}

\newpage \renewcommand\thetable{\arabic{table}}
    \captionof{table}{正态性检验统计量$W$的$\alpha$分位数$W_\alpha$表}\label{tab7}
    \begin{tabularx}{\linewidth}{YYYY||YYYY}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$n$}{$\alpha$}} & 0.01 & 0.05 & 0.10 &
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$n$}{$\alpha$}}
      & 0.01 & 0.05 & 0.10 \\
      \midrule
        & & & & 26 & 0.891 & 0.920 & 0.933 \\
        & & & & 27 & 0.894 & 0.923 & 0.935 \\
        & & & & 28 & 0.896 & 0.924 & 0.936 \\
        & & & & 29 & 0.898 & 0.926 & 0.937 \\
        & & & & 30 & 0.900 & 0.927 & 0.939 \\
        & & & & 31 & 0.902 & 0.929 & 0.940 \\
        & & & & 32 & 0.904 & 0.930 & 0.942 \\
      8 & 0.749 & 0.818 & 0.851 & 33 & 0.906 & 0.931 & 0.942 \\
      9 & 0.764 & 0.829 & 0.859 & 34 & 0.908 & 0.933 & 0.943 \\
      10 & 0.781 & 0.842 & 0.869 & 35 & 0.910 & 0.934 & 0.944 \\
      11 & 0.792 & 0.850 & 0.883 & 36 & 0.912 & 0.935 & 0.945 \\
      12 & 0.805 & 0.859 & 0.883 & 37 & 0.914 & 0.936 & 0.946 \\
      13 & 0.814 & 0.866 & 0.889 & 38 & 0.916 & 0.938 & 0.947 \\
      14 & 0.825 & 0.874 & 0.895 & 39 & 0.917 & 0.939 & 0.948 \\
      15 & 0.835 & 0.881 & 0,901 & 40 & 0.919 & 0.940 & 0.949 \\
      16 & 0.844 & 0.887 & 0.906 & 41 & 0.920 & 0.941 & 0.950 \\
      17 & 0.851 & 0.892 & 0.910 & 42 & 0.922 & 0.942 & 0.951 \\
      18 & 0.858 & 0.897 & 0.914 & 43 & 0.923 & 0.943 & 0.951 \\
      19 & 0.863 & 0.901 & 0.917 & 44 & 0.924 & 0.944 & 0.952 \\
      20 & 0.868 & 0.905 & 0.920 & 45 & 0.926 & 0.945 & 0.953 \\
      21 & 0.873 & 0.908 & 0.923 & 46 & 0.927 & 0.945 & 0.953 \\
      22 & 0.878 & 0.911 & 0.926 & 47 & 0.928 & 0.946 & 0.954 \\
      23 & 0.881 & 0.914 & 0.928 & 48 & 0.929 & 0.947 & 0.954 \\
      24 & 0.884 & 0.916 & 0.930 & 49 & 0.929 & 0.947 & 0.955 \\
      25 & 0.888 & 0.918 & 0.931 & 50 & 0.930 & 0.947 & 0.955 \\
      \bottomrule
    \end{tabularx}

    \newpage
    \captionof{table}{$t$化极差统计量的分位数$q_{1-\alpha}(r,f)$表}\label{tab8}
    \centering （$\alpha=0.10$）
    \begin{tabularx}{\linewidth}{Y*{11}{|Y}}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$f$}{$r$}} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 15 & 20 \\
      \midrule
      1 & 8.93 & 13.4 & 16.4 & 18.5 & 20.2 & 21.5 & 22.6 & 2.36 & 24.5 & 27.6 & 29.7 \\
      2 & 4.13 & 5.73 & 6.77 & 7.54 & 8.14 & 8.63 & 9.05 & 9.41 & 9.72 & 10.9 & 11.7 \\
      3 & 3.33 & 4.47 & 5.20 & 5.74 & 6.16 & 6.51 & 6.81 & 7.06 & 7.29 & 8.12 & 8.68 \\
      4 & 3.01 & 3.98 & 4.59 & 5.03 & 5.39 & 5.68 & 5.93 & 6.14 & 6.33 & 7.02 & 7.50 \\
      5 & 2.85 & 3.72 & 4.26 & 4.66 & 4.98 & 5.24 & 5.46 & 5.65 & 5.82 & 6.44 & 6.86 \\
      6 & 2.75 & 3.56 & 4.07 & 4.44 & 4.73 & 4.97 & 5.17 & 5.34 & 5.50 & 6.07 & 6.47 \\
      7 & 2.68 & 3.45 & 3.93 & 4.28 & 4.55 & 4.78 & 4.97 & 5.14 & 5.28 & 5.83 & 6.19 \\
      8 & 2.63 & 3.37 & 3.83 & 4.17 & 4.43 & 4.65 & 4.83 & 4.99 & 5.13 & 5.64 & 6.00 \\
      9 & 3.59 & 3.32 & 3.76 & 4.08 & 4.34 & 4.54 & 4.72 & 4.87 & 5.01 & 5.51 & 5.85 \\
      10 & 2.56 & 3.27 & 3.70 & 4.02 & 4.26 & 4.47 & 4.64 & 4.78 & 4.91 & 5.40 & 5.73 \\
      11 & 2.54 & 3.23 & 3.66 & 3.96 & 4.20 & 4.40 & 4.57 & 4.71 & 4.84 & 5.31 & 5.63 \\
      12 & 2.52 & 3.20 & 3.62 & 3.92 & 4.16 & 4.35 & 4.51 & 4.65 & 4.78 & 5.24 & 5.55 \\
      13 & 2.50 & 3.18 & 3.59 & 3.88 & 4.12 & 4.30 & 4.46 & 4.60 & 4.72 & 5.18 & 5.48 \\
      14 & 2.49 & 3.16 & 3.56 & 3.85 & 4.08 & 4.27 & 4.42 & 4.56 & 4.68 & 5.12 & 5.43 \\
      15 & 2.48 & 3.14 & 3.54 & 3.83 & 4.05 & 4.23 & 4.39 & 4.52 & 4.64 & 5.08 & 5.38 \\
      16 & 2.47 & 3.12 & 3.52 & 3.80 & 4.03 & 4.21 & 4.36 & 4.49 & 4.61 & 5.04 & 5.33 \\
      17 & 2.46 & 3.11 & 3.50 & 3.78 & 4.00 & 4.18 & 4.33 & 4.46 & 4.58 & 5.01 & 5.30 \\
      18 & 2.45 & 3.10 & 3.49 & 3.77 & 3.98 & 4.16 & 4.31 & 4.44 & 4.55 & 4.98 & 5.26 \\
      19 & 2.45 & 3.09 & 3.47 & 3.75 & 3.97 & 4.14 & 2.29 & 4.42 & 4.53 & 4.95 & 5.23 \\
      20 & 2.44 & 3.08 & 3.46 & 3.74 & 3.95 & 4.12 & 4.27 & 4.40 & 4.51 & 4.92 & 5.20 \\
      24 & 2.42 & 3.05 & 3.42 & 3.69 & 3.90 & 4.07 & 4.21 & 4.34 & 4.44 & 4.85 & 5.12 \\
      30 & 2.40 & 3.02 & 3.39 & 3.65 & 3.85 & 4.02 & 4.16 & 4.28 & 4.38 & 4.77 & 5.03 \\
      40 & 2.38 & 3.99 & 3.35 & 3.60 & 3.80 & 3.96 & 4.10 & 4.21 & 4.32 & 4.69 & 4.95 \\
      60 & 2.36 & 2.96 & 3.31 & 3.56 & 3.75 & 3.91 & 4.04 & 4.16 & 4.25 & 4.62 & 4.86 \\
      120 & 2.34 & 2.93 & 3.28 & 3.52 & 3.71 & 3.86 & 3.99 & 4.10 & 4.19 & 4.54 & 4.78 \\
      +\infty & 2.33 & 2.90 & 3.24 & 3.48 & 3.66 & 3.81 & 3.93 & 4.04 & 4.13 & 4.47 & 4.69 \\
      \bottomrule
    \end{tabularx}

    \newpage
    （$\alpha=0.05$）
    \begin{tabularx}{\linewidth}{Y*{11}{|Y}}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$f$}{$r$}} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 15 & 20 \\
      \midrule
      1 & 18.0 & 27.0 & 32.8 & 37.1 & 40.4 & 43.1 & 45.4 & 47.4 & 49.1 & 55.4 & 59.6 \\
      2 & 6.08 & 8.33 & 9.80 & 10.9 & 11.7 & 12.4 & 13.0 & 13.5 & 14.0 & 15.7 & 16.8 \\
      3 & 4.50 & 5.91 & 6.82 & 7.50 & 8.04 & 8.48 & 8.85 & 9.18 & 9.46 & 10.5 & 11.2 \\
      4 & 3.93 & 5.04 & 5.76 & 6.29 & 6.71 & 7.05 & 7.35 & 7.60 & 7.83 & 8.66 & 7.50 \\
      5 & 3.64 & 4.60 & 5.22 & 5.67 & 6.03 & 6.33 & 6.58 & 6.80 & 6.99 & 7.72 & 8.21  \\
      6 & 3.46 & 4.34 & 4.90 & 5.30 & 5.63 & 5.90 & 6.12 & 6.32 & 6.49 & 7.14 & 7.59 \\
      7 & 3.34 & 4.16 & 4.68 & 5.06 & 5.36 & 5.61 & 5.82 & 6.00 & 6.16 & 6.76 & 7.17 \\
      8 & 3.26 & 4.04 & 4.53 & 4.89 & 5.17 & 5.40 & 5.60 & 5.77 & 5.92 & 6.48 & 6.87 \\
      9 & 3.20 & 3.95 & 4.41 & 4.76 & 5.02 & 5.24 & 5.43 & 5.59 & 5.74 & 6.28 & 6.64 \\
      10 & 3.15 & 3.95 & 4.41 & 4.76 & 5.02 & 5.24 & 5.43 & 5.59 & 5.74 & 6.28 & 6.64 \\
      11 & 3.11 & 3.82 & 4.26 & 4.57 & 4.82 & 5.03 & 5.20 & 5.35 & 5.49 & 5.98 & 6.33 \\
      12 & 3.08 & 3.77 & 4.20 & 4.51 & 4.75 & 4.95 & 5.12 & 5.27 & 5.39 & 5.88 & 6.21 \\
      13 & 3.06 & 3.73 & 4.15 & 4.45 & 4.69 & 4.88 & 5.05 & 5.19 & 5.32 & 5.79 & 6.11 \\
      14 & 3.03 & 3.70 & 4.11 & 4.41 & 4.64 & 4.83 & 4.99 & 5.13 & 5.25 & 5.71 & 6.03 \\
      15 & 3.01 & 3.67 & 4.08 & 4.37 & 4.59 & 4.78 & 4.94 & 5.08 & 5.20 & 5.65 & 5.96 \\
      16 & 3.00 & 3.65 & 4.05 & 4.33 & 4.56 & 4.74 & 4.90 & 5.03 & 5.15 & 5.59 & 5.90 \\
      17 & 2.98 & 3.63 & 4.02 & 4.30 & 4.52 & 4.70 & 4.86 & 4.99 & 5.11 & 5.54 & 5.84 \\
      18 & 2.97 & 3.61 & 4.00 & 4.28 & 4.49 & 4.67 & 4.82 & 4.96 & 5.07 & 5.50 & 5.79 \\
      19 & 2.96 & 3.59 & 3.98 & 4.25 & 4.47 & 4.65 & 4.79 & 4.92 & 5.04 & 5.46 & 5.71 \\
      20 & 2.95 & 3.58 & 3.96 & 4.23 & 4.45 & 4.62 & 4.77 & 4.90 & 5.01 & 5.43 & 5.71 \\
      24 & 2.92 & 3.53 & 3.90 & 4.17 & 4.37 & 4.54 & 4.68 & 4.81 & 4.92 & 5.32 & 5.59 \\
      30 & 2.89 & 3.49 & 3.85 & 4.10 & 4.30 & 4.46 & 4.60 & 4.72 & 4.82 & 5.21 & 5.47 \\
      40 & 2.86 & 3.44 & 3.79 & 4.04 & 4.23 & 4.39 & 4.52 & 4.83 & 4.73 & 5.11 & 5.36 \\
      60 & 2.83 & 3.40 & 3.74 & 3.98 & 4.16 & 4.31 & 4.44 & 4.55 & 4.65 & 5.00 & 5.24 \\
      120 & 2.80 & 2.93 & 3.28 & 3.52 & 3.71 & 3.86 & 3.99 & 4.10 & 4.19 & 4.54 & 4.78 \\
      +\infty & 2.77 & 3.31 & 3.63 & 3.86 & 4.03 & 4.17 & 4.29 & 4.39 & 4.47 & 4.80 & 5.01 \\
      \bottomrule
    \end{tabularx}

    \newpage
    （$\alpha=0.01$）
    \begin{tabularx}{\linewidth}{Y*{11}{|Y}}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$f$}{$r$}} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 15 & 20 \\
      \midrule
      1 & 90.0 & 135 & 164 & 186 & 202 & 216 & 227 & 237 & 246 & 277 & 298 \\
      2 & 14.0 & 19.0 & 22.3 & 24.7 & 26.6 & 28.2 & 29.5 & 30.7 & 31.7 & 35.4 & 27.9 \\
      3 & 8.26 & 10.6 & 12.2 & 13.3 & 14.2 & 15.0 & 15.6 & 1.62 & 16.7 & 18.5 & 19.8 \\
      4 & 6.51 & 8.12 & 9.17 & 9.96 & 10.6 & 11.1 & 11.5 & 11.9 & 12.3 & 13.5 & 14.4 \\
      5 & 5.70 & 6.98 & 7.80 & 8.42 & 8.91 & 9.32 & 9.67 & 9.97 & 10.2 & 11.2 & 11.9 \\
      6 & 5.24 & 6.33 & 7.03 & 7.56 & 7.97 & 8.32 & 8.61 & 8.87 & 9.10 & 9.95 & 10.5 \\
      7 & 5.95 & 5.92 & 6.54 & 7.01 & 7.37 & 7.68 & 7.94 & 8.17 & 8.37 & 9.12 & 9.65 \\
      8 & 4.75 & 5.64 & 6.20 & 6.62 & 6.96 & 7.24 & 7.47 & 7.68 & 7.86 & 8.55 & 9.03 \\
      9 & 4.60 & 5.43 & 5.96 & 6.35 & 6.66 & 6.91 & 7.13 & 7.33 & 7.49 & 8.13 & 8.57 \\
      10 & 4.48 & 5.27 & 5.77 & 6.14 & 6.43 & 6.67 & 6.87 & 7.05 & 7.21 & 7.81 & 8.22 \\
      11 & 4.39 & 5.14 & 5.62 & 5.97 & 6.25 & 6.48 & 6.67 & 6.84 & 6.99 & 7.56 & 7.95 \\
      12 & 4.32 & 5.04 & 5.50 & 5.84 & 6.10 & 6.32 & 6.51 & 6.67 & 6.81 & 7.36 & 7.73 \\
      13 & 4.26 & 4.96 & 5.40 & 5.73 & 5.98 & 6.19 & 6.37 & 6.53 & 6.67 & 7.19 & 7.55 \\
      14 & 4.21 & 4.89 & 5.32 & 5.63 & 5.88 & 6.08 & 6.26 & 6.41 & 6.54 & 7.05 & 7.39 \\
      15 & 4.17 & 4.84 & 5.25 & 5.56 & 5.80 & 5.99 & 6.16 & 6.31 & 6.44 & 6.93 & 7.26 \\
      16 & 4.13 & 4.79 & 5.19 & 5.49 & 5.72 & 5.92 & 6.08 & 6.22 & 6.35 & 6.82 & 7.15 \\
      17 & 4.10 & 4.74 & 5.14 & 5.43 & 5.66 & 5.85 & 6.01 & 6.15 & 6.27 & 6.73 & 7.05 \\
      18 & 4.07 & 4.70 & 5.09 & 5.38 & 5.60 & 4.79 & 5.94 & 6.08 & 6.20 & 6.65 & 6.97 \\
      19 & 4.05 & 4.67 & 5.05 & 5.33 & 5.55 & 5.73 & 5.89 & 6.02 & 6.14 & 6.58 & 6.89 \\
      20 & 4.02 & 4.64 & 5.02 & 5.29 & 5.51 & 5.69 & 5.84 & 5.97 & 6.09 & 6.52 & 6.82 \\
      24 & 3.96 & 4.54 & 4.91 & 5.17 & 5.37 & 5.54 & 5.69 & 5.81 & 5.92 & 6.33 & 6.61 \\
      30 & 3.89 & 4.45 & 4.80 & 5.05 & 5.24 & 5.40 & 5.54 & 5.65 & 5.76 & 6.14 & 6.41 \\
      40 & 3.82 & 4.37 & 4.70 & 4.93 & 5.11 & 5.26 & 5.39 & 5.50 & 5.60 & 5.96 & 6.21 \\
      60 & 3.70 & 4.20 & 4.50 & 4.71 & 4.87 & 5.01 & 5.12 & 5.21 & 5.30 & 5.61 & 5.65 \\
      +\infty & 3.64 & 4.12 & 4.40 & 4.60 & 4.76 & 3.88 & 4.99 & 5.08 & 5.16 & 5.45 & 5.65 \\
      \bottomrule
    \end{tabularx}
    \newpage
    \captionof{table}{检验相关系数的临界值表}\label{tab9}
    \begin{tabularx}{\linewidth}{Y|Y|Y||Y|Y|Y||Y|Y|Y}
      \toprule
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$n-2$}{$\alpha$}} & 5\% & 1\% &
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$n-2$}{$\alpha$}}
      & 5\% & 1\% &
      \multicolumn{1}{l|}{\diagbox[width=1.8cm]{$n-2$}{$\alpha$}}
      & 5\% & 1\% \\
      \midrule
      1 & 0.997 & 1.000 & 16 & 0.468 & 0.590 & 35 & 0.325 & 0.418 \\
      2 & 0.950 & 0.990 & 17 & 0.456 & 0.575 & 40 & 0.304 & 0.393 \\
      3 & 0.878 & 0.959 & 18 & 0.444 & 0.561 & 45 & 0.288 & 0.372 \\
      4 & 0.811 & 0.917 & 19 & 0.433 & 0.549 & 50 & 0.273 & 0.354 \\
      5 & 0.754 & 0.874 & 20 & 0.423 & 0.537 & 60 & 0.250 & 0.325 \\
      6 & 0.707 & 0.834 & 21 & 0.413 & 0.526 & 70 & 0.232 & 0.302 \\
      7 & 0.666 & 0.798 & 22 & 0.404 & 0.515 & 80 & 0.217 & 0.283 \\
      8 & 0.632 & 0.765 & 23 & 0.396 & 0.505 & 90 & 0.205 & 0.267 \\
      9 & 0.602 & 0.735 & 24 & 0.388 & 0.496 & 100 & 0.195 & 0.254 \\
      10 & 0.576 & 0.708 & 25 & 0.381 & 0.487 & 125 & 0.174 & 0.228 \\
      11 & 0.553 & 0.684 & 26 & 0.374 & 0.478 & 150 & 0.159 & 0.207 \\
      12 &0.532 & 0.661 & 27 & 0.367 & 0.470 & 200 & 0.138 & 0.181 \\
      13 & 0.514 & 0.641 & 28 & 0.361 & 0.463 & 300 & 0.113 & 0.143 \\
      14 & 0.497 & 0.623 & 29 & 0.355 & 0.456 & 400 & 0.095 & 0.123 \\
      15 & 0.482 & 0.606 & 30 & 0.349 & 0.449 & 1000 & 0.062 & 0.081 \\
      \bottomrule
    \end{tabularx}

    \newpage
    \captionof{table}{统计量$H$的分位数$H_{1-\alpha}(r,f)$表}\label{tab10}
    （$\alpha=0.05$）
    \begin{tabularx}{\linewidth}{Y|*{11}{Y}}
    \toprule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$f$}{$r$}}
       & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
      \midrule
      2 & 39.0 & 87.5 & 142 & 202 & 266 & 333 & 403 & 475 & 550 & 526 & 704 \\
      3 & 15.4 & 27.8 & 39.2 & 50.7 & 62.0 & 72.9 & 83.5 & 93.9 & 104 & 114 & 124 \\
      4 & 9.60 & 15.5 & 20.6 & 25.2 & 29.5 & 33.6 & 37.5 & 41.1 & 44.6 & 48.0 & 51.4 \\
      5 & 7.15 & 10.8 & 13.7 & 16.3 & 18.7 & 20.8 & 22.9 & 24.7 & 26.5 & 28.2 & 29.9 \\
      6 & 5.82 & 8.38 & 10.4 & 12.1 & 13.7 & 15.0 & 16.3 & 17.5 & 18.6 & 19.7 & 20.7 \\
      7 & 4.99 & 6.94 & 8.44 & 9.70 & 10.8 & 11.8 & 12.7 & 1.35 & 14.3 & 15.1 & 15.8 \\
      8 & 4.43 & 6.00 & 7.18 & 8.12 & 9.03 & 9.78 & 10.5 & 11.1 & 11.7 & 12.2 & 12.7 \\
      9 & 4.03 & 5.34 & 6.31 & 7.11 & 7.80 & 8.41 & 8.95 & 9.45 & 9.91 & 10.3 & 10.7 \\
      10 & 3.72 & 4.85 & 5.67 & 6.34 & 6.92 & 7.42 & 7.87 & 8.28 & 8.66 & 9.01 & 9.34 \\
      12 & 3.28 & 4.16 & 4.79 & 5.30 & 5.72 & 6.09 & 6.42 & 6.72 & 7.00 & 7.25 & 7.48 \\
      15 & 2.86 & 3.54 & 4.01 & 4.37 & 4.68 & 4.95 & 5.19 & 5.40 & 5.59 & 5.77 & 5.93 \\
      20 & 2.46 & 2.95 & 3.29 & 3.54 & 3.76 & 3.94 & 4.10 & 4.24 & 4.37 & 4.49 & 4.59 \\
      30 & 2.07 & 2.40 & 2.61 & 2.78 & 2.91 & 3.02 & 3.12 & 3.21 & 3.29 & 3.36 & 3.39 \\
      60 & 1.67 & 1.85 & 1.96 & 2.04 & 2.11 & 2.17 & 2.22 & 2.26 & 2.30 & 2.33 & 2.36 \\
      +\infty & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 & 1.00 \\
      \bottomrule
    \end{tabularx}
    （$\alpha=0.01$）
    \begin{tabularx}{\linewidth}{Y|*{11}{Y}}
    \toprule
      \multicolumn{1}{l|}{\diagbox[width=2.4cm]{$f$}{$r$}}
      & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
      \midrule
      2 & 199 & 448 & 729 & 1036 & 1362 & 1705 & 2063 & 2432 & 2813 & 3204 & 3605 \\
      3 & 47.5 & 85 & 120 & 151 & 184 & 216 & 249 & 281 & 310 & 337 & 361 \\
      4 & 23.2 & 37 & 49 & 59 & 69 & 79 & 89 & 97 & 106 & 113 & 120 \\
      5 & 14.9 & 22 & 28 & 33 & 38 & 42 & 46 & 50 & 54 & 57 & 60 \\
      6 & 11.1 & 15.5 & 19.1 & 22 & 25 & 27 & 30 & 32 & 34 & 36 & 37 \\
      7 & 8.89 & 12.1 & 14.5 & 18.4 & 20 & 22 & 23 & 24 & 26 & 27 \\
      87.50 & 9.9 & 11.7 & 13.2 & 14.5 & 15.8 & 16.9 & 17.9 & 18.9 & 19.8 & 21 \\
      9 & 6.54 & 8.5 & 9.9 & 11.1 & 12.1 & 13.1 & 13.9 & 14.7 & 15.3 & 16.0 & 16.6 \\
      10 & 5.85 & 7.4 & 8.6 & 9.6 & 10.4 & 11.1 & 11.8 & 12.4 & 12.9 & 13.4 & 13.9 \\
      12 & 4.91 & 6.1 & 6.9 & 7.6 & 8.2 & 8.7 & 9.1 & 9.5 & 9.9 & 10.2 & 10.6 \\
      15 & 4.07 & 4.9 & 5.5 & 6.0 & 6.4 & 6.7 & 7.1 & 7.3 & 7.5 & 7.8 & 8.0 \\
      20 & 3.32 & 3.8 & 4.3 & 4.6 & 4.9 & 5.1 & 5.3 & 5.5 & 5.6 & 5.8 & 5.9 \\
      30 & 2.63 & 3.0 & 3.3 & 3.4 & 3.6 & 3.7 & 3.8 & 3.9 & 4.0 & 4.1 & 4.2 \\
      60 & 1.96 & 2.2 & 2.3 & 2.4 & 2.4 & 2.5 & 2.5 & 2.6 & 2.6 & 2.7 & 2.7 \\
      +\infty & 1.00 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\
      \bottomrule
    \end{tabularx}

